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Finding the Fourth Proportional to 16,170.40, 24,225.20 and 9,223.84

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Solution

The fourth proportional to 16,170.40, 24,225.20 and 9,223.84 is: 13,818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.40 : 24,225.20 = 9,223.84 : x
  2. Step 2: Convert to fraction form
    16,170.40/24,225.20 = 9,223.84/x
  3. Step 3: Cross multiply
    16,170.40x = 24,225.20 × 9,223.84
  4. Step 4: Simplify right side
    16,170.40x = 223,449,368.77
  5. Step 5: Solve for x
    x = 223,449,368.77/16,170.40
  6. Step 6: Final answer
    x = 13,818.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.